A dealer wishes to purchase a number of fans and sewing machines. He has only Rs.5760 to invest and has space for at most 20 items. A fan costs him Rs.360 and a sewing machine $\pm240$. He expects to sell a fan at a profit of $\approx 22$ and a sewing machine at a profit of $\pm 18 .$ Assuming that he can sell all the items that he buys, how should he invest his money to maximize the profit? Solve the graphically and find the maximum profit.

Home » A dealer wishes to purchase a number of fans and sewing machines. He has only Rs.5760 to invest and has space for at most 20 items. A fan costs him Rs.360 and a sewing machine . He expects to sell a fan at a profit of and a sewing machine at a profit of Assuming that he can sell all the items that he buys, how should he invest his money to maximize the profit? Solve the graphically and find the maximum profit.

A dealer wishes to purchase a number of fans and sewing machines. He has only Rs.5760 to invest and has space for at most 20 items. A fan costs him Rs.360 and a sewing machine $\pm240$ . He expects to sell a fan at a profit of $\approx 22$ and a sewing machine at a profit of $\pm 18 .$ Assuming that he can sell all the items that he buys, how should he invest his money to maximize the profit? Solve the graphically and find the maximum profit.

A dealer wishes to purchase a number of fans and sewing machines. He has only Rs.5760 to invest and has space for at most 20 items. A fan costs him Rs.360 and a sewing machine $\pm240$ . He expects to sell a fan at a profit of $\approx 22$ and a sewing machine at a profit of $\pm 18 .$ Assuming that he can sell all the items that he buys, how should he invest his money to maximize the profit? Solve the graphically and find the maximum profit.

Let the number of fans bought be $x$ and sewing machines bought be $y$ .
$\therefore$ According to the question,
$360 x+240 y \leq 5760, x+y \leq 20, x \geq 0, y \geq 0$
Maximize $Z=22 x+18 y$
The feasible region determined by $360 x+240 y \leq 5760, x+y \leq 20, x \geq 0, y \geq 0$ is given by